MCQ practice · SSC Physics Board questions · Chapter 7: Waves and Sound
What will the speed of sound be at 40 °C?
Think it through first, then pick an option.
- a 332 m s⁻¹
- b 350 m s⁻¹
- c 353 m s⁻¹
- d 362 m s⁻¹
Answer and explanation
Correct answer: c 353 m s⁻¹
The stem gives no speed at 0 °C, so take the listed 330 m/s: v = 330 × √(313/273) = 353.3 m/s ≈ 353. With 332 it would be 355.5, which is not offered.
Why the other options are wrong
- a 332 m s⁻¹: 332 m/s is the speed at 0 °C in exercise values. At 40 °C the air is much warmer, so the speed is higher than that.
- b 350 m s⁻¹: 350 is about the speed at 30 °C (349.8). At 40 °C, T = 273 + 40 = 313 K, so the speed is higher still.
- d 362 m s⁻¹: 362 needs about 32 added to 330. But the speed grows as √T, not in a straight line; from 0 to 40 °C it rises by only about 23 m/s.
More board questions on this topic
- In which of the following media is the speed of sound highest?
- In which medium is the speed of sound highest?
- In which of the following media does sound travel fast?
- The speed of sound in air is inversely proportional to the square…
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